Pith Number

pith:LTHRQE4H

pith:2015:LTHRQE4H6AWUGRBE3XZ5V3ATNB

not attested not anchored not stored refs pending

Space-time paraproducts for paracontrolled calculus, 3d-PAM and multiplicative Burgers equations

D. Frey, F. Bernicot, I. Bailleul

arxiv:1506.08773 v3 · 2015-06-29 · math.AP · math.CA · math.FA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTHRQE4H6AWUGRBE3XZ5V3ATNB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:45:50.348994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ccf181387f02d434424ddf3daec13685b741b997e9d6d4d872274540f904021

Aliases

arxiv: 1506.08773 · arxiv_version: 1506.08773v3 · doi: 10.48550/arxiv.1506.08773 · pith_short_12: LTHRQE4H6AWU · pith_short_16: LTHRQE4H6AWUGRBE · pith_short_8: LTHRQE4H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LTHRQE4H6AWUGRBE3XZ5V3ATNB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5ccf181387f02d434424ddf3daec13685b741b997e9d6d4d872274540f904021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b245c3a3ae3e4c2f030d9d6a7f64ffa67fdc10e9a3e6080e3aac4e56435913b",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-29T18:42:12Z",
    "title_canon_sha256": "2f9b17979aaa442ff6b03d3b00d5036609b382ee96f5a0c9fedce43a69ce1388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08773",
    "kind": "arxiv",
    "version": 3
  }
}